Answer:
66
Step-by-step explanation:
the order of operations is the acronym PEMDAS which stands for:
P: Parentheses
E: Exponents
M & D: Multiplication and Division
A & S: Addition and Subtraction
we do these in order, from left to right in the equation
for the equation (14 - 8) x (15 - 4), we would start with solving the parentheses
there are 2 sets of parentheses, so we will go from left to right in solving it:
(14 - 8) = 6
(15 - 4) = 11
we replace the values we have found from the parentheses into the equation
6 x 11
now we go through the list
we can already eliminate exponents because there are none in this equation
the next step is multiplication & division, in this equation there is only multiplication, so we multiply 6 x 11 which gives us the answer 66
there is nothing left for us to do at this point, so 66 is our final answer
In the 3rd row where it says "3x(x-3)(x+3)", it should be "3x(x+3)(x+3)" and the solutions should be -3,-3,0
1. $49.05
2. $23.40
3. $88.55
4. $81.13
5. $155.25
6. $189.75
When the x values are evenly spaced, as they are here, the second differences are constant when the function is quadratic.
1st table:
.. 2 -4 = -2; 1 -2 = -1; 0.5 -1 = -0.5 . . . . first differences
.. -1 -(-2) = 1; -0.5 -(-1) = 0.5 . . . . . . . . . second differences are different
2nd table:
.. 128 -135 = -7; 105 -128 = -23; 72 -105 = -33 . . . . first differences
.. -23 -(-7) = -16; -33 -(-23) = -10 . . . . . . . . . . . . . . . second differences are different
3rd table:
.. -23.2 -(-23.4) = 0.2; -23 -(-23.2) = 0.2 . . . . . first differences are constant. This is a linear function.
4th table:
.. 56 -90 = -34; 26 -56 = -30; 0 -26 = -26; -22 -0 = -22; -40 -(-22) = -18
.. -30 -(-34) = 4; -26 -(-30) = 4; -22 -(-26) = 4; -18 -(-22) = 4 . . . . second differences are constant at 4.
The 4th selection is appropriate.
3,200,000. 5 rounds up, so 1=2 , and you change every number after the 2 to 0's
